On linear independence of T-spline blending functions
This paper shows that, for any given T-spline, the linear independence of its blending functions can be determined by computing the nullity of the T-spline-to-NURBS transform matrix. The paper analyzes the class of T-splines for which no perpendicular T-node extensions intersect, and shows that the blending functions for any such T-spline are linearly independent. © 2011 Elsevier B.V. All rights reserved.
Publication Source (Journal or Book title)
Computer Aided Geometric Design
Li, X., Zheng, J., Sederberg, T., Hughes, T., & Scott, M. (2012). On linear independence of T-spline blending functions. Computer Aided Geometric Design, 29 (1), 63-76. https://doi.org/10.1016/j.cagd.2011.08.005